Lyra几何中一类新的变磁导率磁化非均匀Bianchi Ⅰ型宇宙模型
New Class of Magnetized Inhomogeneous Bianchi Type-I Cosmological Model with Variable Magnetic Permeability in Lyra Geometry
摘要：
研究了基于Lyra几何的具有电-磁场的非均匀Bianchi I型宇宙学模型。本文用分离法，借助Mathematica程序，对爱因斯坦场方程进行了解析求解。考虑到度规势和位移场是坐标t和x的函数，得到了一类新的精确解。我们假定F（12）是电磁场张量F（ij）的唯一非零分量。麦克斯韦方程表明F（12）是x的单独函数，而磁导率是x和t两者的函数。为了得到确定性解，假设模型中的扩展标度因子Theta与剪切张量sigma（ij）的值sigma（11）成比例。对模型的一些物理和几何性质也进行了讨论和图示。
英文摘要：
Inhomogeneous Bianchi type-I cosmological model with electro-magnetic field based on Lyra geometry is investigated. Using separated method, the Einstein field equations have been solved analytically with the aid of Mathematica programm. A new class of exact solutions have been obtained by considering the potentials of metric and displacement field are functions of coordinates t and x. We have assumed that F(12) is the only non-vanishing component of electro-magnetic field tensor F(ij). The Maxwells equations show that F(12) is the function of x alone whereas the magnetic permeability is the function of x and t both. To get the deterministic solution, it has been assumed that the expansion scaler Theta in the model is proportional to the value sigma(11) of the shear tensor sigma(ij). Some physical and geometric properties of the model are also discussed and graphed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
